Electrostrictive resonance suppression for tunable capacitors

ABSTRACT

A multi-layered capacitor includes three or more capacitor layers. A first layer includes a first DC-biased, tunable capacitor. A second layer, acoustically coupled to the first layer, includes a second DC-biased, tunable capacitor. A third layer, acoustically coupled to the second layer, includes a third DC-biased, tunable capacitor. Each dielectric of the first, second, and third capacitors has a resonance of about the same frequency, within 5%, and inner electrodes of the first, second, and third capacitors have a resonance of about the same frequency, within 5%. The resonance of each layer is a function of at least thickness, density, and material. The first, second, and third layers are biased to generate destructive acoustic interference, and the multi-layer capacitor is operable at frequencies greater than 0.1 GHz.

FIELD

The technology described in this patent document relates generally to the field of tunable capacitors.

BACKGROUND

Thin-film circuit modules are commonly used in space-constrained applications, such as hearing instrument or cell phone products. In some thin-film circuit modules, perovskite or pyrochlore materials, such as (Ba_(1-x)Sr_(x))TiO₃ (hereinafter BST), are used as high K capacitor dielectrics. The high dielectric constant (high-K) of these materials allows for significant miniaturization of these devices. Many capacitors can also be fabricated on a single substrate along with other passive electronic components (integrated passive component chips) to form part of electronic devices such as cell phone power amplifier modules, GPS receivers, etc.

These high-K dielectrics, such as BST, are also tunable, i.e. the dielectric constant of the is varied by changing the applied electric field. Tunable capacitors rely on the variable dielectric properties of the high-K dielectric. The capacitance at zero bias is a maximum and the capacitance drops with applied voltage. The change in capacitance allows these units to be used to create tunable circuits in filters, matching networks, resonant circuits and other applications from audio to RF and microwave frequencies. The dielectric constant of the tunable dielectric material determines the capacitance as C=∈A/d, where ∈ is the dielectric constant of the tunable material, A is the area of the electrodes and d is the separation of the electrodes and thickness of the tunable material. A DC voltage is applied to the electrodes to induce an electric field in the tunable dielectric. The ∈ of the tunable dielectric material is a function of the electric field, E=V/d, and thus the capacitance is a function of voltage.

Ferroelectric materials are also electrostrictive. As an electric field is applied, which lowers the dielectric constant, the piezoelectric constant of the material becomes non-zero. As a result, the electric field causes a physical change of the lattice constants of the film. Application of an AC signal to the piezoelectric material causes acoustic vibrations of atoms in the crystalline lattice, which is called electromechanical coupling. Therefore, any AC signal on the tunable capacitor under bias produces an acoustic response. At certain frequencies, the acoustic response of the structure will be resonant and some of the AC signal power will be converted into acoustic vibrations causing a loss of signal amplitude. The effect is seen as a narrow band of frequencies where the Q-factor of the capacitor is very low.

It has been shown that acoustic resonance can be at least partially cancelled by a multi-layer capacitor that has two capacitors, one with a positive DC bias and one with a negative DC bias. It was previously thought that the number of layers of positively DC-biased dielectrics had to be equal to the number of negatively DC-biased dielectrics in order to observe the acoustic resonance cancellation effect. This was based on the theory that acoustic vibrations from the positively biased capacitors would interfere with the opposite phase acoustic vibrations of the negatively biased capacitors. These earlier efforts are fairly limited in operable frequency range. For instance, FIG. 1 shows a simulated Q factor vs. frequency within the operable frequency range for a two-layer capacitor (solid line) 1.

SUMMARY

A multi-layered capacitor includes three or more capacitor layers. A first layer includes a first DC-biased, tunable capacitor. A second layer, acoustically coupled to the first layer, includes a second DC-biased, tunable capacitor. A third layer, acoustically coupled to the second layer, includes a third DC-biased, tunable capacitor. Each dielectric of the first, second, and third capacitors has a resonance of about the same frequency, within 5%, and inner electrodes of the first, second, and third capacitors have a resonance of about the same frequency, within 5%. The resonance of each layer is a function of at least thickness, density, and material. The first, second, and third layers are biased to generate destructive acoustic interference, and the multi-layer capacitor is operable at frequencies greater than 0.1 GHz.

A multi-layered capacitor includes three or more capacitor layers. A first layer includes a first DC-biased capacitor. A second layer, acoustically coupled to the first layer, includes a second DC-biased capacitor. A third layer, acoustically coupled to the second layer, includes a third DC-biased, capacitor. The capacitor is operable at frequencies of 0.1 to 40 GHz. A total number of positive DC-biased dielectric layers is not equal to a total number of negative DC-biased dielectric layers.

A method includes reducing the losses due to resonance and improving Q factor in an odd number layered capacitor having at least three layers, by acoustically coupling the layers of the capacitor and providing a DC bias to each dielectric of the capacitor, biasing each dielectric such that the acoustic vibration of the layers destructively interfere with each other. The capacitor is operable at frequencies of 0.1 GHz to 40 GHz.

The term “acoustically coupled” means that components are physically in contact or that the components are in such close physical proximity that an acoustic vibration in the first component causes acoustic vibration in the other. The first, second, and third layers can be located anywhere in a multi-layer stack and the multi-layer stack may also contain other capacitor layers.

BRIEF DESCRIPTION OF THE DRAWINGS

FIG. 1 is a graph showing a simulated comparison of two-layer and three-layer alternately DC-biased multi-layer tunable capacitors.

FIG. 2 is a graph showing a comparison of the measured Q-factors of several different capacitors.

FIG. 3 is a graph showing a comparison of the capacitance of several different capacitors.

FIG. 4 is a cross-sectional view of an example three-layer tunable capacitor.

FIG. 5 is a diagram of an example biasing scheme for the example three-layer tunable capacitor.

FIGS. 6 and 6 b are cross-sectional views of an example five-layer tunable capacitor.

DETAILED DESCRIPTION

Described herein are example structures for an acoustic-resonance-reducing, three or more layer capacitor. By resonantly coupling capacitor layers that resonate at about the same frequency, such as within 5% or 1%, and biasing the dielectric of each layer in a certain way, the acoustic resonance of the capacitor is substantially reduced. Reducing or eliminating the acoustic resonance provides an improved Q factor and prevents some gaps in the operable frequency range of the capacitor. The three or more layer capacitor may be constructed to be operable at high Q-factors for a number of wide frequency bands, such as those exceeding 1.8 GHz or 3 GHz.

FIG. 1 illustrates a simulated Q factor vs. frequency graph of the operable frequency range of an example three-layer capacitor (broken line) 2. FIGS. 2-3 illustrate actual tests comparing four different capacitors. This data illustrates how the three-layer capacitor compares favorably to the prior art.

FIG. 2 is a graph showing the measured Q-factor of several different capacitors over a frequency range of 0 to 3.0 GHz. Line A shows the performance of an unbiased three-layer, tunable capacitor with high-K tunable dielectric. Line B shows the performance of a biased one-layer, tunable, high-K BST capacitor. Line C shows the performance of a two-layer, biased, tunable, BST capacitor. Finally, line D shows the performance of a biased, three-layer, tunable BST capacitor with high-K tunable dielectric. All capacitors represented on the graph were constructed of the same materials, and tested under the same conditions, but with different bias conditions.

It is evident from FIG. 2 that the three-layer tunable capacitor with high-K tunable dielectric (line D) has a Q-factor of 20 or higher through the entire frequency range. In contrast, none of the other capacitors stay above a Q factor of 20 through the entire range. Without being bound to theory, it is believed that this is caused by the improved acoustic resonance suppression in the three-layer tunable capacitor with high-K tunable dielectric. The two-layer capacitor (line C) with tunable high-K dielectric appears to display some beneficial acoustic suppression below about 1.8 GHz, however, it behaves substantially the same as the one-layer capacitor with high-K tunable dielectric at frequencies higher than 1.8 GHz.

FIG. 3 illustrates the capacitance vs. frequency characteristics of the same for different types of capacitors that were shown in FIG. 2. The non-biased capacitor (Line A) has approximately linear capacitance in the given frequency range. The biased, tunable one-layer capacitor with high-K tunable dielectric (Line B) has the highest non-linearity, while the biased, two-layer capacitor with high-K tunable dielectric (Line C) has the next highest non-linearity. Electrostrictive resonance is believed to be a root cause of that nonlinearity. In contrast, the biased three-layer capacitor with high-K tunable dielectric (Line D) is clearly more linear than either the two-layer or one-layer stack. In fact, it is practically linear, similar to the non-biased capacitor (Line A). This data indicates an improved acoustic suppression in the three-layer capacitor over the one- and two-layer biased capacitors and the three-layer ability to preserve the unbiased Q value.

As mentioned above, previous efforts had shown that the number of dielectrics biased positively had to be equal to the number of dielectrics biased negatively to produce an acoustic cancelling effect. Thus, it was quite unexpected that a three or more layer capacitor having an odd number of alternately biased dielectrics produced improved results compared to the two-layer capacitor. These results suggest that the acoustic cancellation mechanism in multi-layer capacitors with alternating bias is more complex and unpredictable than simple wave cancelling in pairs.

The example structures and methods described herein allow for a variety of process options to be used with the dielectric layer and facilitate optimizing of the dielectric layer. The subject of this disclosure also allows further processing of the structure to integrate other passive components such as inductors, resistors, and capacitors with other dielectric materials. The circuit structures described herein, may, for example, be used in a system-on-a-package (SoP) structure for electronic devices requiring high volumetric density for capacitors and other integrated passives (e.g., inductors, resistors) in radio frequency (RF), Bluetooth, and high-speed wireless (e.g., wideband) communication modules, such as components for cellular phones. Particularly when optimized for high frequency operation, the capacitors described herein may be used in electronic devices such as satellite communications equipment.

FIG. 4 is a diagram of an example three-layer capacitor 5 fabricated on a substrate 10. Also illustrated in FIG. 1 is an optional insulating and/or planarizing layer 11 that is fabricated between the substrate 10 and the three-layer capacitor 5.

The example three-layer capacitor 5 includes three capacitors that are acoustically coupled by being stacked in physical contact one on top of the other. The top and bottom capacitors each share an electrode with the middle capacitor. In this example structure the capacitors are in stacked physical contact; however, the capacitors being adjacent or in such close physical proximity as to cause an acoustic vibration in one or more of the other capacitors are examples of other configurations of the capacitor structure.

In the example three-layer capacitor 5, a first electrode 12 is disposed on the optional insulating and/or planarizing layer 11. A first dielectric 13 is disposed on top of the first electrode 12, and a second electrode 14 is disposed on top of the first dielectric 13. The first electrode 12, first dielectric 13, and second electrode 14 form the first capacitor layer.

The second capacitor layer is formed by the second electrode 14 and a third electrode 16, with a second dielectric 15, sandwiched between them. The second capacitor layer shares the second electrode 14 with the first capacitor layer.

Similarly, the third capacitor layer is formed by the third electrode 16 and a fourth electrode 18, with a third dielectric 17, sandwiched between them. The third capacitor layer shares the third electrode 16 with the second capacitor layer.

In the example three-layer capacitor 5, the capacitor layers are biased as shown in FIG. 3. The first electrode 12 is grounded, the second electrode 14 has a positive voltage, the third electrode 16 is grounded, and the fourth electrode 18 has a positive voltage. This results in a bias scheme of positive for the first capacitor, negative for the second capacitor, and positive for the third capacitor. In another example, the bias scheme may be the opposite, i.e. negative for the first capacitor, positive for the second capacitor, and negative for the third capacitor. The bias scheme in both such examples is referred to as biased successively and alternately positive and negative. In the example three-layer capacitor 5, a positive DC voltage may be applied to both the second and fourth electrodes 14, 18. In other examples the DC voltage can be negative. In this example the positive DC voltage is the same magnitude on each of the second and fourth electrodes 14, 18, but differing voltages may be utilized in other examples.

Upon application of an RF signal to the capacitor 5, and the addition of DC bias, the three dielectrics 13, 15, 17 are caused to acoustically vibrate in time to the RF signal. The inner electrodes, i.e. the second and third electrodes 14, 16 will vibrate while the first and fourth electrodes 12, 18 are relatively still. This vibration will be dependent on the density and thickness and composition of the materials in the stack. This means that the capacitor layers are not transmitting first-order acoustic energy to the first and fourth electrodes 12, 18 of the capacitor 5. Accordingly, the capacitor 5 is not transmitting acoustic energy into the surrounding layers causing extra losses. There may be vibrations within the dielectric layers 13, 15, 17 and this will cause some negligible loss.

FIG. 4 depicts another embodiment, an example five-layer capacitor 105. The example five-layer capacitor 105 includes five capacitors that are acoustically coupled by being contiguously stacked in physical contact one on top of the other. In this example capacitor structure the capacitors are in stacked physical contact; however, the capacitors being adjacent or in such close physical proximity as to cause an acoustic vibration in one or more of the other capacitors are examples of other configurations of the capacitor structure.

In the example five-layer capacitor 105, a first electrode 112 is disposed on the optional insulating and/or planarizing layer 111. A first dielectric layer 113 is disposed on top of the first electrode 112, and a second electrode 114 is disposed on top of the first dielectric layer 113. The first electrode 112, first dielectric layer 113, and second electrode 14 form the first capacitor layer.

The second capacitor layer is formed by the second electrode 114 and a third electrode 116, with a second dielectric layer 115, sandwiched between them. The second capacitor layer shares the second electrode 114 with the first capacitor layer.

The third capacitor layer is formed by the third electrode 116 and a fourth electrode 118, with a third dielectric layer 117, sandwiched between them. The third capacitor layer shares the third electrode 116 with the second capacitor layer.

The fourth capacitor layer is formed by the fourth electrode 118 and a fifth electrode 120, with a fourth dielectric layer 119, sandwiched between them. The fourth capacitor layer shares the fourth electrode 118 with the third capacitor layer.

Finally, the fifth capacitor layer is formed by the fifth electrode 120 and a sixth electrode 122, with a fifth dielectric layer 121, sandwiched between them. The fifth capacitor layer shares the fifth electrode 120 with the fourth capacitor layer. The thickness, density, and/or material type is varied between layer 122 and layer 120 in the embodiment of FIG. 6 b.

The inner electrodes of the example five-layer capacitor 105 are the second, third, and fourth electrodes 114, 116, 118.

Each dielectric of the example capacitors described above is approximately the same thickness, such as within 20% or within 10% and density such as within 3% or 1%. The inner electrodes are also approximately the same thickness, such as within 20% or within 10% and density such as within 3% or 1%. For example, the dielectric layers may each be 100 nm to 500 nm thick, but within 10% deviation of each other. Furthermore, in the examples described above, each dielectric is made of the same type of material and each electrode is made of the same type of material. The dielectrics and electrodes are of the same or approximately the same size in the examples.

Without being bound by theory, this configuration is believed to cause each dielectric and electrode, respectively, to resonate at about the same frequency, thereby allowing each capacitor to interfere acoustically with another at the same or about the same frequency.

Other configurations may also be used wherein the thickness, density, and material type are varied among each layer, but are preferably controlled to resonate at the same or about the same frequency as the other layers.

The acoustic cancellation may not eliminate all acoustic loss as the dielectric layers and the inner electrode layers may still vibrate and generate losses; however the acoustic loss will be reduced at most frequencies and invisible in many cases. The three or more layer structure allows the electric resistivity of the inner layers to be relaxed and a wider range of materials may be used. Different materials and thicknesses used for the inner electrodes will change the operational frequency range and the extent of the intrinsic loss of the multi-layer structure, thereby allowing the device to be adapted for different frequency bands of operation.

The optimum frequency range of the three or more layer acoustic cancelling capacitor can be adjusted by changing the material type, thickness, and/or density. Other adjustments can also be made to modify the operable frequency range. Although it can be constructed to be operable from 0.1 GHz to 40 GHz, the three or more layer capacitor is capable of high frequency operations, for example 1.5 GHz to 40 GHz, such as 1.8 GHz to 40 GHz, 20 GHz to 40 GHz, 2 GHz to 12 GHz, or 3 GHz to 6 GHz, at Q factors equal or better than the value of the unbiased capacitor, including values of 20 or more or 40 or more. Relatively low frequencies are also possible and have a high Q factor for a wide frequency range. For example, a three or more layer capacitor as described herein may have a Q factor of 60 or greater from 0.7 to 2.3 GHz, or 1.5 GHz to 4.0 GHz. It can also be adjusted to have a Q factor of 40 or greater from 2.0 GHz to 12 GHz. It may also have a Q factor of 40 or greater in a range of 1.8 GHz to 3 GHz, or at a lower range of 0.1 GHz to 3.0 GHz.

Furthermore, in an embodiment of multi-layer capacitors described herein, the capacitance vs. frequency curve is substantially linear, such as with no ripples. For example, the capacitance is substantially linear within a frequency range of 0.1 to 3 GHz. The capacitance may also be substantially linear or practically linear from 0.1 to 40 GHz. Substantially linear means with less variation than line C on FIG. 3. Practically linear means as much or less variation in capacitance as line D on FIG. 3.

Each type of layer of the example capacitors are now discussed in more detail.

The substrate 10 may, for example, be Si, Al₂O₃, sapphire AlN, quartz, MgTiO₃, Mg₂SiO₄, GaAs, GaN, SiC or some other insulating, semi-insulating, or semi-conducting material, either single-crystal, polycrystalline or mono-crystalline. Ceramic substrate materials are typically affordable and are highly machinable. A ceramic substrate 10 may therefore include fine-pitched metal filled through holes that provide low and controlled parasitics. In addition, a ceramic substrate material provides substantially better Q-factors for other passive components (e.g. thin-film inductors) than conventional silicon-based substrates.

A smooth surface sufficient to fabricate the example three-layer capacitor 5 is provided by the planarizing and/or insulating layer 11. In another example, the three-layer capacitor 5 may be fabricated directly on the substrate; however, the fabrication of a high value thin-film capacitor (e.g., with an overall capacitance density from 10 to 390 fF/μm²) requires a high degree of precision, and this is difficult to achieve with some rough substrate materials such as ceramic. Therefore, the planarizing layer 11 allows for increased precision. It may also facilitate better adhesion of the capacitor 5 to the substrate 10.

The planarizing and/or insulating layer 11 may be a thick film dielectric material that is polished to provide a smooth upper surface. In another example, this layer 11 may be a smooth (fire polished) glass dielectric material. In the case of a polished thick film layer 11, the surface roughness (Ra) of the smooth upper surface may be less than or equal to 0.08 micrometers (μm), such as less than or equal to 0.06 μm. In the case of a glass dielectric smoothing and/or insulating layer 11, the surface roughness (Ra) of the smooth upper surface may be less than or equal to 0.08 μm, such as less than or equal to 0.03 μm. In addition to providing a low surface roughness (e.g., Ra≦0.08 μm), this layer 11 is substantially free of micropores and is thus stable at high temperatures. For example, the smoothing and/or insulating layer 11 should be able to withstand multiple anneals at high temperatures (e.g., 600-800° C.) in an oxidizing ambient without substantially affecting its surface quality or the resistivity of any metal filled vias. As a result, the high-k ferroelectric layer(s) of the MLC 14 may be deposited using a simple spin-coat technology, as well as methods such as Physical Vapor Deposition (PVD) or Chemical Vapor Deposition (CVD).

The dielectric layers are formed, for example, from a high permittivity (High-K) dielectric perovskite or pyrochlore material of any stoichiometric or non-stoichiometric chemical composition. Preferably, the dielectric layers are highly tunable. Examples include compounds containing barium strontium titanium oxide or (BaSr)TiO₃ also known as BST, SBT, SBM, PZT or PLZT, and doped formulations of each. Other electrically tunable dielectric materials may be used partially or entirely in place of barium strontium titanium oxide. An example is strontium bismuth tantalate (SBT). Additional electronically tunable ferroelectrics include any electrically tunable compositions of high-K dielectrics, such as NaNO₃, KNbO₃, BaTiO₃, SrTiO₃, CaTiO₃, members of the lead titanate family such as PbTiO₃, Pb(Zr_(x)Ti_(1-x))O₃ (PZT), (Pb,Sr)(Zr_(x)Ti_(1-x))O₃, (Pb,La)(Zr_(x)Ti_(1-x))O₃ (PLZT), niobate-tantalate family such as LiTaO₃, PbNb₂O₆, KSr(NbO₃), LiNbO₃, K(Ta_(1-x)Nb_(x))O₃, PbTa₂O₆ KDP (KH₂PO₄) layered perovskites/Aurivillius phases such as SrBi₂Ta₂O₉ (SBT), tungsten-bronze structures (PbTa₂O₆), phosphates such as KH₂PO₄ (KDP), fluorides such as BaMgF₄ including doped formulations, and mixtures or compositions thereof.

Additional minor additives in amounts of from about 0.1 to about 10 weight percent can be added to the composites to additionally improve the electronic properties of the films. These minor additives include oxides such as zirconates, tantalates, rare earths oxides, niobates and tantalates. For example, the minor additives may include CaZrO₃, BaZrO₃, SrZrO₃, BaSnO₃, CaSnO₃, MgSnO₃, Bi₂O₃/2SnO₂, Nd₂O₃, Pr₇O₁₁, Yb₂O₃, Ho₂O₃, La₂O₃, MgNb₂O₆, SrNb₂O₆, BaNb₂O₆, MgTa₂O₆, BaTa₂O₆ and Ta₂O₃.

Films of tunable dielectric composites may comprise Ba_(1-x)Sr_(x)TiO₃ (BST) (or other tunable dielectric), in combination with at least one non-tunable dielectric phase including Group 2A elements in the form of oxide, silicate, zirconate, aluminate, tantalate, niobate or a mixture of thereof. Examples include MgO, MgTiO₃, MgZrO₃, MgSrZrTiO₆, Mg₂SiO₄, MgAl₂O₄, CaO, CaSiO₃, CaTiO₃, BaSiO₃ and SrSiO₃. The non-tunable dielectric phases may be any combination of the above, e.g., MgO combined with MgTiO₃, MgO combined with MgSrZrTiO₆, MgO combined with Mg₂SiO₄, MgO combined with Mg₂SiO₄, Mg₂SiO₄ combined with CaTiO₃. These compositions can be BST (or other tunable dielectric) and one of these components, or two or more of these components in quantities from 0.1 weight percent to 10 weight percent with BST (or other tunable dielectric) weight ratios of 99.9 weight percent to 90 weight percent.

In addition to Group 2A metals, the present metal oxides, silicates, zirconates, aluminates, tantalates, niobates or a combination thereof may include metals from Group 1A (alkali metals), i.e., Li, Na, K, Rb, Cs and Fr. For example, alkali metal silicates may include sodium silicates such as Na₂SiO₃ and NaSiO₃-5H₂O, and lithium-containing silicates such as LiAlSiO₄, Li₂SiO₃ and Li₄SiO₄.

Metals from Groups 3A, 4A and some transition metals of the Periodic Table may also be suitable constituents of the metal silicate phase. Additional oxides and silicates may include but not limited to Al₂O₃, SiO₂, ZrO₂, Al₂Si₂O₇, ZrSiO₄, KalSi₃O₈, NaAlSi₃O₈, CaAl₂Si₂O₈, CaMgSi₂O₆, BaTiSi₃O₉ and Zn₂SiO₄.

Metals from other Groups of the Periodic Table may also be suitable constituents of the metal oxide phases. For example, oxides and/or other compounds of refractory metals such as Ti, V, Cr, Mn, Zr, Nb, Mo, Hf, Ta, and W may be used. Furthermore, metals such as Al, Si, Sn, Pb, and Bi may be used in the form of oxides and/or other compounds. In addition, the metal oxide phases may comprise rare earth elements such as La, Ce, Pr, Nd, Pm, Sm, Eu, Gd, Tb, Dy, Ho, Er, Tm, Yb, Lu in the form of oxides and/or other compounds solely or in composition with one or more of the above mentioned additives.

The electrode layers are formed, for example, from a conductive thin-film material (e.g., Pt, conductive oxides such as SrRuO₃, LaNiO₃, LaMn_(1-x)Co_(x)O₃, and other metals such as Ir, Au, Cu, and W). The electrode layers could be a single metal, or a multilayer structure comprised of two or more metals or combinations of metals with conductive oxides. These multilayer structures could include conductive barriers, such as but not limited to Ti_(x)N_(y), TiW, Ta_(x)N_(y), Ta_(x)(ON)_(y), and antireflective layers.

The example three-layer capacitor 5 may be, but is not limited to, a mesa-structure formed using photolithography patterning. Via holes may be etched in the layers to allow access for a contact for each electrode. A three or more layer capacitor can be constructed with equipment and processes generally known in the art for producing thin-film capacitors. An example of an acceptable method of manufacture is disclosed in U.S. Pat. No. 5,745,335, which is hereby incorporated by reference.

Though the general equipment and process of manufacture is known, the parameters of the process should be controlled to provide a three-or-more layer capacitor that is biased to produce destructive acoustic interference in accordance with this disclosure. For example, a method of making a three or more layer capacitor includes reducing the losses due to resonance and improving Q factor in an odd number layered capacitor with at least three layers, by acoustically coupling the layers of the capacitor and providing a DC bias to each layer of the capacitor. The DC biasing is applied to each dielectric such that the acoustic vibrations of the layers destructively interfere with each other. Furthermore, the capacitor is operable at frequencies greater than 0.1 GHz. The capacitor may be a thin-film capacitor and may be formed in a mesa structure.

Since there are electrostrictive materials with no or little DC-tunability, the present disclosure can be extended to such materials as non-tunable capacitors that are required to operate under a certain bias. These applications can benefit from electrostrictive suppression too and their well-known ripples are currently tolerated but not desired.

This written description uses examples to disclose the invention, including the best mode, and also to enable a person skilled in the art to make and use the invention. It should be understood that the examples depicted in the Figures may not be drawn to scale. The patentable scope of the invention may include other examples that occur to those skilled in the art. 

1. A multi-layered capacitor having three or more capacitor layers, comprising: a first layer comprising a first positively DC-biased, tunable capacitor; a second layer, acoustically coupled to and positioned over the first layer, comprising a second negatively DC-biased, tunable capacitor sharing a common electrode with the first tunable capacitor; a third layer, acoustically coupled to and positioned over the second layer, comprising a third positively DC-biased, tunable capacitor sharing a common electrode with the second tunable capacitor; wherein each dielectric of the first, second, and third capacitors has a resonance of about the same frequency, within 5%, and wherein inner electrodes of the first, second, and third layers have a resonance of about the same frequency, within 5%; whereby the resonance of each layer is a function of at least one of thickness, density, and material; wherein the first, second, and third layers are biased to generate destructive acoustic interference; wherein the multi-layer capacitor is operable at frequencies greater than 0.1 GHz; wherein a total number of positive DC-biased dielectric layers is not equal to a total number of negative DC-biased dielectric layers; and wherein a bottom electrode of the first tunable capacitor is unbiased.
 2. The multi-layered capacitor of claim 1, wherein the dielectric layers are the same thickness within 20%.
 3. The multi-layered capacitor of claim 2, wherein the dielectric layers are the same material and have the same density within 5%.
 4. The multi-layered capacitor of claim 1, wherein at least one of the electrode layers is of a different material and thickness.
 5. The multi-layered capacitor of claim 1, wherein at least one of the dielectric layers has at least one of a different thickness, different density, or different material type from the other layers.
 6. The multi-layered capacitor of claim 1, wherein the first, second, and third capacitors are in a contiguous stack.
 7. The multi-layered capacitor of claim 1, wherein the dielectric layers of the multi-layered tunable capacitor are biased successively and alternately with positive and negative DC bias.
 8. The multi-layered capacitor of claim 1, wherein the multi-layered tunable capacitor has one or more of the following characteristics: a Q factor of 20 or greater in the entire range of 1.5 to 40 GHz; a Q factor of 60 or greater in the entire range of 0.7 to 2.3 GHz; a Q factor of 40 or greater in the entire range of 2.0 to 12.0 GHz; a Q factor of 20 or greater in the entire range of 20 to 40 GHz.
 9. The multi-layered capacitor of claim 1, wherein the capacitor in one or more layers includes tunable, high-K, pyrochlore or perovskite dielectric.
 10. The multi-layered capacitor of claim 9, wherein the dielectric is a compound comprising barium strontium titanium oxide.
 11. The multi-layered capacitor of claim 1, wherein the bottom electrode of the first tunable capacitor is formed directly on an insulating layer having a surface roughness of less than or equal to 0.08 micrometers.
 12. A multi-layered capacitor having three or more capacitor layers, comprising: a first layer comprising a first DC-biased capacitor; a second layer, acoustically coupled to and positioned over the first layer, comprising a second DC-biased capacitor; a third layer, acoustically coupled to and positioned over the second layer, comprising a third DC-biased capacitor; wherein a total number of positive DC-biased dielectric layers is not equal to a total number of negative DC-biased dielectric layers, and wherein a bottom electrode of the first capacitor is unbiased.
 13. The capacitor of claim 12, wherein the capacitor has a Q factor of 20 or greater at an entire range of frequencies from 1.5 to 40 GHz.
 14. The capacitor of claim 12, wherein the capacitor has a Q factor of 60 or greater at an entire range of frequencies of 0.7 to 2.3 GHz.
 15. The capacitor of claim 12, wherein the bottom electrode of the first capacitor is formed directly on an insulating layer having a surface roughness of less than or equal to 0.08 micrometers.
 16. A method comprising: reducing the losses due to resonance and improving Q factor in an odd number layered capacitor having at least three layers, by: acoustically coupling the layers of the capacitor and providing a DC bias to each dielectric of the capacitor, biasing each dielectric such that the acoustic vibration of the layers destructively interfere with each other, wherein the capacitor is operable at frequencies of 0.1 GHz to 40 GHz, and wherein a bottom electrode of a bottom capacitor of the layers of the capacitor is formed directly on an insulating layer between a substrate and the bottom electrode, wherein the insulating layer has a surface roughness of less than or equal to 0.08 micrometers.
 17. The method of claim 16, wherein the multi-layered capacitor has one or more of the following characteristics: a Q factor of 20 or greater in the entire range of 1.5 to 40 GHz; a Q factor of 60 or greater in the entire range of 0.7 to 2.3 GHz; a Q factor of 40 or greater in the entire range of 2.0 to 12.0 GHz; a Q factor of 20 or greater in the entire range of 20 to 40 GHz.
 18. The multi-layered capacitor of claim 1 wherein, over an operable frequency range, a Q factor of the multi-layered tunable capacitor under DC bias is greater than a Q-factor of the multi-layered tunable capacitor at 0 V bias.
 19. The multi-layered capacitor of claim 1 wherein the dielectric of at least one of the first, second, and third capacitors are DC-tunable.
 20. The multi-layered capacitor of claim 1, wherein the multi-layered tunable capacitor has a practically linear capacitance, within a frequency range of 0.1 to 3 GHz.
 21. The multi-layered capacitor of claim 1, wherein the multi-layered tunable capacitor has a substantially linear capacitance, within the entire frequency range of 0.1 to 40 GHz.
 22. The multi-layered capacitor of claim 1, wherein the multi-layered capacitor comprises five capacitor layers that are each biased to generate destructive acoustic interference and are acoustically coupled.
 23. The method of claim 16, wherein a total number of positive DC-biased dielectric layers is not equal to a total number of negative DC-biased dielectric layers, and wherein the bottom electrode of the bottom capacitor is unbiased. 